Appendix
Optimal Scaling transformation of variables
RAI_2006_PLUS1a,b
Category
Count
Quantification
1.00
1610
-1.699
4,60 - 8,10
2687
-1.127
10,50 - 11,20
5755
-.554
15,50 - 17,00
3055
.018
19,00 - 23,10
3010
.590
23,70 - 29,10
3028
1.163
30.30
2075
1.735
a. A previous transformation added 1 to the original scale.
b. Optimal Scaling: Numeric
RAI_2006_PLUS1: Q-Q Graphic
POLIT_2008_START1a, b
Category
Count
Quantification
1,00 - 1,38
4188
-1.223
1,54 - 2,46
6338
-.572
3,06 - 3,67
4614
.078
3.76
1510
.729
5,00 - 5,48
3063
1.380
7.85
1507
2.031
a. A previous transformation subtracted the smallest value in the original variable’s range and then added
one to all the variable’s values.
b. Optimal Scaling: Numeric
POLIT_2008_START1: Q-Q Graphic
POLIT_Trend_START1a, b
Category
Count
Quantification
1.00
1500
-1.902
3,01 - 3,19
2641
-1.259
3,98 - 4,47
3054
-.617
4,96 - 5,94
6646
.025
6,04 - 6,97
4316
.668
8.30
1509
1.310
9.51
1554
1.953
a. A previous transformation subtracted the smallest value in the original variable’s range and then added
one to all the variable’s values.
b. Optimal Scaling: Numeric
POLIT_Trend_START1: Q-Q Graphic
Category
GINI_2008_START1a, b
Count
Quantification
1.00
1187
-1.695
2,10 - 3,30
4151
-1.105
4,50 - 4,70
4673
-.514
6,80 - 7,20
3576
.076
8,00 - 8,90
3019
.667
10,40 - 10,90
3061
1.257
12.80
1553
1.848
a. A previous transformation subtracted the smallest value in the original variable’s range and then added
one to all the variable’s values.
b. Optimal Scaling: Numeric
GINI_2008_START1: Q-Q Graphic
ETNIA_MAY_START1a, b
Category
Count
Quantification
1,00 - 6,10
3119
-2.066
18.90
1500
-.751
26,60 - 32,00
5759
-.094
34,00 - 38,10
7789
.563
40,40 - 40,50
3053
1.220
a. A previous transformation subtracted the smallest value in the original variable’s range and then added
one to all the variable’s values.
b. Optimal Scaling: Numeric
ETNIA_MAY_START1: Q-Q Graphic
Category
GDP_START1a, b
Count
Quantification
1.00
1553
-1.629
16,00 - 30,00
6020
-.723
37,00 - 57,00
12037
.183
187.00
1610
2.901
a. A previous transformation subtracted the smallest value in the original variable’s range and then added
one to all the variable’s values.
b. Optimal Scaling: Numeric
GDP_START1: Q-Q Graphic
Immigration suffer only a preliminary transformation for its inclusion in Categorical Regression, we
subtracted the smallest value in the original variable’s range and then added one to all the variable’s
values. After this transformation no further transformation was required.
INMIGRA_PLUS1a
Percentage
Valid
Cumulative
percentage
percentage
1,00
1018
9,6
9,6
9,6
1,90
760
7,2
7,2
16,8
2,20
749
7,1
7,1
23,9
2,90
805
7,6
7,6
31,5
3,90
564
5,3
5,3
36,9
4,10
726
6,9
6,9
43,7
4,70
811
7,7
7,7
51,4
5,10
750
7,1
7,1
58,5
6,30
778
7,4
7,4
65,8
7,00
1339
12,7
12,7
78,5
8,30
747
7,1
7,1
85,6
10,10
752
7,1
7,1
92,7
16,80
772
7,3
7,3
100,0
Total
10571
100,0
100,0
a. A previous transformation subtracted the smallest value in the original variable’s range and then added
one to all the variable’s values.
Value
Count
INMIGRA_PLUS1: Q-Q Graphic
As regards THREE_clusters_k.means and MONOPOL, they were treated as ranking variables, with the
transformations shown below.
THREE_clusters_k.means: Transformation graphic
Value
-,99
-,17
1,77
Total
THREE_cluster_k.means Quantification
Count Percentage
Valid
Cumulative percentage
percentage
3267
30,9
30,9
30,9
5007
47,4
47,4
78,3
2297
21,7
21,7
100,0
10571
100,0
100,0
THREE_clusters_k.means: Q-Q Graphic
Value
-1,27
,79
Total
MONOPOL 1-2 Quantification
Count Percentage
Valid
Cumulative percentage
percentage
4003
37,9
37,9
37,9
6568
62,1
62,1
100,0
10571
100,0
100,0
MONOPOL 1-2: Q-Q Graphic